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Finding the Fourth Proportional to 200,496.44, 276,649.91 and 114,416.12

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Solution

The fourth proportional to 200,496.44, 276,649.91 and 114,416.12 is: 157,874.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,496.44 : 276,649.91 = 114,416.12 : x
  2. Step 2: Convert to fraction form
    200,496.44/276,649.91 = 114,416.12/x
  3. Step 3: Cross multiply
    200,496.44x = 276,649.91 × 114,416.12
  4. Step 4: Simplify right side
    200,496.44x = 31,653,209,300.55
  5. Step 5: Solve for x
    x = 31,653,209,300.55/200,496.44
  6. Step 6: Final answer
    x = 157,874.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.